P3P问题多解现象的普遍性

发布时间：2018-03-04 22:36

本文选题：PP问题　切入点：多解现象　出处：《中国科学:信息科学》2017年04期 　论文类型：期刊论文

【摘要】：P3P问题是一种重要的基于单幅图像的物体定位方法,而多解性是P3P问题研究的一个重要方向.本文从几何观点出发,证明当摄像机光心与3个控制点之间的距离相对比较大时,对应的P3P问题一般不可能存在唯一解,即一般至少存在两个解可以同时满足P3P问题的所有三个约束条件.本文的另一个贡献是将P3P问题中"空间三个南瓜面的相交问题"通过"南瓜面与控制点平面交线之间的相交性"进行判断,给出了一种研究P3P问题多解现象的新思路和途径.本文工作可望为P3P问题的研究和应用人员提供一些参考价值.
[Abstract]:The P3P problem is an important object localization method based on a single image, and multi-solvability is an important research direction of the P3P problem. From the point of view of geometry, it is proved that when the distance between the camera center and the three control points is relatively large, It is generally impossible for the corresponding P3P problem to have a unique solution. That is to say, there are at least two solutions which can satisfy all three constraints of the P3P problem at the same time. Another contribution of this paper is that the "intersection problem of three pumpkin surfaces in space" in the P3P problem is intersected with the control point plane by "pumpkin surface". The intersections between lines are judged, A new way to study the phenomenon of multiple solutions to P3P problem is given. The work in this paper is expected to provide some reference value for the researchers and applicators of P3P problem.
【作者单位】：中国科学院自动化研究所;山东大学信息科学与工程学院;北方工业大学理学院;厦门理工学院计算机与信息工程学院;
【基金】：国家自然科学基金(批准号:61273290,61403373,61503004)资助项目
【分类号】：TP391.41

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